Question

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)

Answer 1

Option D.

Explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x =
`([4m+n(-4)])/(m+n)=(8-24)/(2+6)`

= -
`(16)/(8)`

= -2

and y =
`([7m+n(-9)])/(m+n)=(14-54)/(2+6)`

=
`-(40)/(8)`

= -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.